The term cybrid refers to the

The term cybrid refers to Somatic hybrids.
A cytoplasmic hybrid or cybrid is a eukaryotic cell line produced by the fusion of a whole cell with a cytoplast. Cytoplasts are enucleated cells, that is without a nucleus or genetic material.
A cybrid is then a hybrid cell that mixes the nuclear genes from one cell with the mitochondrial genes from another cell.
It is valuable in mitochondrial research and has been used to provide suggestive evidence of mitochondrial involvement in Alzheimer's disease, Parkinson's disease and other conditions.